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Circle-valued Morse Theory

-valued Morse theory originated from a problem in hydrodynamics studied by S. P. Novikov in the early 1980s. Nowadays, it is a constantly growing;

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New Topological Invariants for Real and Angle Valued Maps

This book is about new topological invariants of real- and angle-valued maps inspired by Morse-Novikov theory, a chapter of topology, which;

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Discrete Morse Theory

Discrete Morse theory is a powerful tool combining ideas in both topology and combinatorics. Invented by Robin Forman in the mid 1990s;

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Morse Theory

Morse Theory: Smooth and Discrete serves as an introduction to classical smooth Morse theory and to Forman's discrete Morse theory;

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Sobolev Maps to the Circle

The theory of real-valued Sobolev functions is a classical part of analysis and has a wide range of applications in pure and applied;

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An Invitation to Morse Theory

This self-contained treatment of Morse theory focuses on applications and is intended for a graduate course on differential or algebraic;

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Perturbed Gradient Flow Trees and A -algebra Structures in Morse Cohomology

definition of Morse-A -categories for closed oriented manifolds involving families of Morse functions. To make A -structures in Morse theory;

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Perturbed Gradient Flow Trees and A -algebra Structures in Morse Cohomology

definition of Morse-A -categories for closed oriented manifolds involving families of Morse functions. To make A -structures in Morse theory;

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Morse Theory. (AM-51), Volume 51

One of the most cited books in mathematics, John Milnor's exposition of Morse theory has been the most important book on the subject for;

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The Calculus of Variations in the Large

Morse theory is a study of deep connections between analysis and topology. In its classical form, it provides a relationship between the;

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Set-Valued Stochastic Integrals and Applications

This book is among the first concise presentations of the set-valued stochastic integration theory as well as its natural applications, as;

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Set-Valued Stochastic Integrals and Applications

This book is among the first concise presentations of the set-valued stochastic integration theory as well as its natural applications, as;

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Morse Theory for Hamiltonian Systems

introduces a new Morse (index) theory that is easier to use, less technical, and more flexible than existing theories and features techniques and;

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Morse Theory for Hamiltonian Systems

introduces a new Morse (index) theory that is easier to use, less technical, and more flexible than existing theories and features techniques and;

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Topology for Computing

The emerging field of computational topology utilizes theory from topology and the power of computing to solve problems in diverse fields;

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Topology for Computing

The emerging field of computational topology utilizes theory from topology and the power of computing to solve problems in diverse fields;

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Pi, Monads, and the Quasi-Circle Theory

Pi, Monads, and the Quasi-Circle Theory is een boek van Lionel Fabius;

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Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables

set in literatures) was systematically introduced by Kendall {1974) and Matheron {1975). It is well known that the theory of set-valued random;

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Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31

theory associates to reductive group actions on nonsingular complex projective varieties. These quotient varieties are interesting in particular;

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Topological Methods in the Theory of Functions of a Complex Variable. (AM-15), Volume 15

The description for this book, Topological Methods in the Theory of Functions of a Complex Variable. (AM-15), will be forthcoming.;

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Complex-Valued Neural Networks with Multi-Valued Neurons

is devoted to the Multi-Valued Neuron (MVN) and MVN-based neural networks. It contains a comprehensive observation of MVN theory, its learning, and;

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Multiple-Valued Logic Design

Multiple-Valued Logic Design: An Introduction explains the theory and applications of this increasingly important subject. Written in a;

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J-Contractive Matrix Valued Functions and Related Topics

geometry of finite dimensional spaces with an indefinite inner product, and the theory of the Nevanlinna class of matrix valued functions with;

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Topological Methods For Set-valued Nonlinear Analysis

This book provides a comprehensive overview of the authors' pioneering contributions to nonlinear set-valued analysis by topological;

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Operator-Valued Measures, Dilations, and the Theory of Frames

The authors develop elements of a general dilation theory for operator-valued measures. Hilbert space operator-valued measures are closely;

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